Properties of Rhombi Worksheet

Explore and apply the properties of rhombi, including diagonals, angles, and sides, in various geometric problems.

Grade 10 Math GeometryProperties of Rhombi

Use This Worksheet

Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSG.CO.C.11CCSS.MATH.CONTENT.HSG.SRT.B.5

7 sections · Free to use · Printable

Properties of Rhombi

Name:

Date:

Score:

Read each question carefully and answer to the best of your ability. Show all your work where applicable.

1. Which of the following statements is always true for a rhombus?

All angles are right angles.

Diagonals are congruent.

Diagonals bisect each other at right angles.

Opposite sides are not parallel.

2. A rhombus is a quadrilateral with all four sides .

3. The diagonals of a rhombus the opposite angles.

4. In rhombus ABCD, if AB = 5x - 3 and BC = 2x + 9, find the value of x. Then find the perimeter of the rhombus.

5. The diagonals of a rhombus are 10 cm and 24 cm. Find the length of a side of the rhombus.

6. All rhombi are squares.

True

False

7. The diagonals of a rhombus are perpendicular bisectors of each other.

True

False

8. In rhombus PQRS, if m∠PQR = 120°, find m∠QPS.

9. A rhombus has a side length of 13 units and one diagonal of length 10 units. Find the length of the other diagonal.